Plane Infinite Analytical Element and Hamiltonian System

SUN Yan; ZHOU Gang; LIU Zheng-xing

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(5): 505-511

SUN Yan, ZHOU Gang, LIU Zheng-xing. Plane Infinite Analytical Element and Hamiltonian System[J]. Applied Mathematics and Mechanics, 2003, 24(5): 505-511.

Citation:

SUN Yan, ZHOU Gang, LIU Zheng-xing. Plane Infinite Analytical Element and Hamiltonian System[J]. Applied Mathematics and Mechanics, 2003, 24(5): 505-511.

Citation:

SUN Yan, ZHOU Gang, LIU Zheng-xing. Plane Infinite Analytical Element and Hamiltonian System[J]. Applied Mathematics and Mechanics, 2003, 24(5): 505-511.

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Plane Infinite Analytical Element and Hamiltonian System

1.
Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, P.R.China;
2.
Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P.R.China

Received Date: 2001-02-10
Rev Recd Date: 2002-12-24
Publish Date: 2003-05-15

Abstract

Abstract

It is not convenient to solve those engineering problems defined in an infinite field by using FEM.An infinite area can be divided into a regular infinite external area and a finite internal area.The finite internal area was dealt with by the FEM and the regular infinite external area was settled in a polar coordinate.All governing equations were transformed into the Hamiltonian system.The methods of variable separation and eigenfunction expansion were used to derive the stiffness matrix of a new infinite analytical element.This new element,like a super finite element,can be combined with commonly used finite elements.The proposed method was verified by numerical case studies.The results show that the preparation work is very simple,the infinite analytical element has a high precision,and it can be used conveniently.The method can also be easily extended to a three-dimensional problem.
- infinite field,
- infinite analytical element,
- Hamiltonian system,
- method of eigenfunction expansion,
- FEM

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References(8)

References

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